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Tricky Digits is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

Two cards sit on a table. Each has a different single-digit number written on it. When set side by side, they form a two-digit number. Then, by flipping their order, you can make another two-digit number. Adding the total from these two two-digit numbers gives you one of the totals shown below. Which one is it?

Hints




Click a Tab to reveal the Hint.

Once you see the pattern that runs through this puzzle, it's not very difficult to solve.

US Version

15+51=66
34+43=77
53+35=88

So is the pattern clear yet?

UK Version

15 + 51 = 66
34 + 43 = 77
53 + 35 = 88

Is the pattern clear yet?

Isn't it funny how adding a two-digit number to another two-digit number with reversed digits always gives you a sum that's a multiple of 11?


Solution

Incorrect

Too bad!

US Version

Think hard about the clues you've been given and try again.

UK Version

Think hard about the puzzle and try again.

Correct

Good job!

US Version

12+21=33
35+53=88

As you can see, the sum of two two-digit numbers with inverted digits is always a multiple of 11. Of the six options presented, the only multiple of 11 is 44.

UK Version

12 + 21 = 33
35 + 53 = 88

As you can see, the sum of two two-digit numbers with inverted digits is always a multiple of 11. Of the six options presented, the only multiple of 11 is 44.

DB115S

A big thanks to http://professorlayton2walkthrough.blogspot.com

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